Hello!
Let's put this into a system of equations and have a represent the apples and o represent the oranges.
o=2a+2
0.5o-0.5a=4
Since we can already so what o equals (2a+2) we will substitute it into the second equation and solve for a.
0.5(2a+2)-0.5a=4
1a+1-0.5a=4
1.5a+1=4
1.5a=3
a=2
Now that we know the value of a will put a into the first equation to find o.
o=2(2)+2
o=4+2
o=6
There were 6 oranges and 2 apples.
I hope this helps!
Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
The two white triangles have areas of 1/2 x 3 x 10 and 1/2 x 6 x 10 = 15 + 30 = 45 cm^2
The shaded area will be 10 x 10 - 45 = 55 cm^2
The percentage shaded = 55 / 100 x 100% = 55%
Answer: b) (32,28)
Step-by-step explanation:
Let x be the number of polio individual doses and y be the number of each measles individual doses.
Then the number of polio vaccination = 44x
The number of measles vaccination multi-dose = 22x
According to the question,

Dividing 22 on equation (2) both sides, we gwt

Subtract (1) from (3), we get

Substitute x=32 in equation (1), we get

Hence, Dr. Potter gives 32 individual polio vaccination and 28 individual measles vaccinations .
Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m =
=
= - 3
Note the line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line